A classification of circulant DCI(CI)-digraphs of 2-power order Original Research Article

Let Zn be a cyclic group of order n with unit 0 and C(Zn,S) the circulant digraph of Zn with respect to S⊆Zn⧹{0}. C(Zn,S) is called a circulant DCI-digraph if, for any circulant digraph C(Zn,T), C(Zn,S)≅C(Zn,T) implies that S and T are conjugate in Aut(Zn), the automorphism group of Zn. In this paper, we give a complete classification for circulant DCI-digraphs of 2-power order.